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Data - Years 7 to 9

The 12 learning objects in this collection relate to the use, collection, display, comparison and interpretation of data. Objects in the first category, statistical data graphs, enable students to explore data using a range of graphical analysis tools. Objects in the second category, analysing surveys, enable students to ...

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Middle value or value that appears most often?

You might have heard the terms median and mode. Do you get them mixed up? The median is the middle value. The mode is the value that appears most often. See how to work each out using a data set about goals scored in soccer matches.

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What's the mean number of goals scored?

The mean is the average of a data set. In this example of finding the mean, data is represented in a table. It shows the frequency of goals scored for 20 soccer matches. See how to find the mean, or average, number of goals scored.

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Dividing data into quartiles

Have you heard of a quartile when talking about data? Dividing the data into four equal sets gives you quartiles. Find out the term we use for the middle quartile. See what the special term is for the middle 50 per cent range of data. Lastly, see how to find values for these quartiles using a data set.

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The sweet interquartile range

Do you know how to find the interquartile range of frequency data? In this clip, see how it's done using data collected about numbers of sweets. The first step is to find Q1 (lower quartile) and then Q3 (upper quartile). Next watch how a cumulative frequency curve is used to find the interquartile range of grouped frequency ...

Interactive resource

Fix the matchbox machine: scoop size

Check whether a machine is packing most matchboxes with an acceptable number of matches (40–60 matches per box). Look at boxplots made after taking samples of 100 matchboxes. Analyse the data and identify whether results are within the tolerance range. Adjust the machine's scoop size (if needed) to make it work correctly. ...

Interactive resource

Fix the matchbox machine: speed

Check whether a machine is packing most matchboxes with an acceptable number of matches (40–60 matches per box). Look at boxplots made after taking samples of 100 matchboxes. Analyse the data and identify whether results are within the tolerance range. Adjust the machine's scoop size (if needed) to make it work correctly. ...

Interactive resource

Matchbox machine: take a sample

Check whether a machine is packing most matchboxes with an acceptable number of matches (40–60 matches per box). Take a sample of 100 matchboxes and make a boxplot to analyse the results. Sort the sample data into four equal groups. Identify the range, median, first and third quartile values. Position the data points to ...

Interactive resource

Matchbox machine: plot the variation

Check whether a machine is packing most matchboxes with an acceptable number of matches (40–60 matches per box). Take a sample of 100 matchboxes and make a boxplot to analyse the results. Sort the sample data into four equal groups. Identify the range, median, first and third quartile values. Position the data points to ...

Interactive resource

Matchbox machine

Check whether a machine is packing most matchboxes with an acceptable number of matches (40–60 matches per box). Take a sample of 100 matchboxes and make a boxplot to analyse the results. Sort the sample data into four equal groups. Identify the range, median, first and third quartile values. Position the data points to ...

Interactive resource

Rice crisp machine

Check whether a machine is packing most bags with an acceptable number of rice crisps (20–35 rice crisps per packet). Take a sample of 100 packets and make a boxplot to analyse the results. Sort the sample data into four equal groups. Identify the range, median, first and third quartile values. Position the data points ...

Interactive resource

Rice crisp machine: take a sample

Check whether a machine is packing most bags with an acceptable number of rice crisps (20–35 rice crisps per packet). Take a sample of 100 packets and make a boxplot to analyse the results. Sort the sample data into four equal groups. Identify the range, median, first and third quartile values. Position the data points ...

Interactive resource

Fix the matchbox machine: scoop size and speed

Check whether a machine is packing most matchboxes with an acceptable number of matches (40–60 matches per box). Look at boxplots made after taking samples of 100 matchboxes. Analyse the data and identify whether results are within the tolerance range. Adjust the machine's scoop size or speed (if needed) to make it work ...

Interactive resource

Rice crisp machine: plot the variation

Check whether a machine is packing most bags with an acceptable number of rice crisps (20–35 rice crisps per packet). Take a sample of 100 packets and make a boxplot to analyse the results. Sort the sample data into four equal groups. Identify the range, median, first and third quartile values. Position the data points ...

Interactive resource

Scatter plots

Find out what a scatter plot is and how it can be used to investigate relationships between two variables. Analyse data for a pair of variables such as hand span and foot length. Enter your personal data and plot it with other data on a graph. Use a line of best fit to identify if there is a positive or negative relationship ...

Interactive resource

Scatter plots: height and bellybutton height

Find out what a scatter plot is and how it can be used to investigate relationships between two variables. Analyse data for a pair of variables: a person's height and the height of their bellybutton measured from the floor. Enter your personal data and plot it with other data on a graph. Use a line of best fit to identify ...

Interactive resource

Scatter plots: age and reaction time

Find out what a scatter plot is and how it can be used to investigate relationships between two variables. Analyse data for a pair of variables: a person's age and the time it takes them to react to a signal. Enter your personal data and plot it with other data on a graph. Use a line of best fit to identify if there is ...

Interactive resource

Scatter plots: foot length and hand span

Find out what a scatter plot is and how it can be used to investigate relationships between two variables. Analyse data for a pair of variables: hand span and foot length. Enter your personal data and plot it with other data on a graph. Use a line of best fit to identify if there is a positive or negative relationship between ...

Interactive resource

Scatter plots: create your own data

Find out what a scatter plot is and how it can be used to investigate relationships between two variables. Gather and analyse data for a pair of variables such as hand span and foot length. Enter your data set and plot it on a graph. Use a line of best fit to identify if there is a positive or negative relationship between ...

Collection

Data - Years 5 and 6

The 11 learning objects in this collection relate to the use, collection, display, comparison and interpretation of statistical data. Objects in the first category, statistical graphs, enable students to compare and use a broad range of statistical graphs appropriately. Objects in the second category, surveys, explore and ...